431162640 has 120 divisors (see below), whose sum is σ = 1471875288. Its totient is φ = 113080320.

The previous prime is 431162629. The next prime is 431162647. The reversal of 431162640 is 46261134.

431162640 is a `hidden beast` number, since 4 + 3 + 1 + 16 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56972304 + 374190336 = 7548^2 + 19344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (431162647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39012 + ... + 48828.

Almost surely, 2^431162640 is an apocalyptic number.

431162640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735937644).

431162640 is an abundant number, since it is smaller than the sum of its proper divisors (1040712648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431162640 is a wasteful number, since it uses less digits than its factorization.

431162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 431162640 is about 20764.4561691367. The cubic root of 431162640 is about 755.4638846233.

The spelling of 431162640 in words is "four hundred thirty-one million, one hundred sixty-two thousand, six hundred forty".